165957120 has 400 divisors, whose sum is σ = 687701520. Its totient is φ = 37933056.

The previous prime is 165957119. The next prime is 165957131. The reversal of 165957120 is 21759561.

165957120 is a `hidden beast` number, since 1 + 65 + 9 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23708157 + ... + 23708163.

Almost surely, 2^165957120 is an apocalyptic number.

165957120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343850760).

165957120 is an abundant number, since it is smaller than the sum of its proper divisors (521744400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165957120 is an frugal number, since it uses more digits than its factorization.

165957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 165957120 is about 12882.4345525215. The cubic root of 165957120 is about 549.5391401117.

The spelling of 165957120 in words is "one hundred sixty-five million, nine hundred fifty-seven thousand, one hundred twenty".